| Date | May 2017 | Marks available | 1 | Reference code | 17M.3.HL.TZ1.10 |
| Level | Higher level | Paper | Paper 3 | Time zone | Time zone 1 |
| Command term | Calculate | Question number | 10 | Adapted from | N/A |
Question
The graph below shows the displacement y of an oscillating system as a function of time t.
State what is meant by damping.
[1]
a.
Calculate the Q factor for the system.
[1]
b.
The Q factor of the system increases. State and explain the change to the graph.
[2]
c.
Markscheme
the loss of energy in an oscillating system
[1 mark]
a.
\(Q = 2\pi \frac{{{{16}^2}}}{{{{16}^2} - {{10.3}^2}}} \approx 11\)
Accept calculation based on any two correct values giving answer from interval 10 to 13.
[1 mark]
b.
the amplitude decreases at a slower rate
a higher Q factor would mean that less energy is lost per cycle
[2 marks]
c.
Examiners report
[N/A]
a.
[N/A]
b.
[N/A]
c.
Syllabus sections
Option B: Engineering physics » Option B: Engineering physics (Additional higher level option topics) » B.4 – Forced vibrations and resonance (HL only)
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